Finding the Third Proportional to 16,646 and 35,882

Step by Step Solution

1. Step 1: Write the proportion equation
   16,646 : 35,882 = 35,882 : x
2. Step 2: Convert to fraction form
   16,646/35,882 = 35,882/x
3. Step 3: Cross multiply
   16,646x = 35,882 × 35,882
4. Step 4: Simplify right side
   16,646x = 1,287,517,924
5. Step 5: Solve for x
   x = 1,287,517,924/16,646
6. Step 6: Final answer
   x = 77,346.99